At 9: 00, paula has x cups of food in a container for her dog. paula pours a 2 1/2 cup box of fodd into the container. then she removes 3/4 cup of food to feed her dog. now there are 5 1/4 cups of food in the container.
write an equation that can be used to determine the number of cups, x , of food in the container at 9: 00.

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

Step-by-step explanation:

X + (2 and 1/2) - 3/4 = 5 and 1/4

X + 2 and 2/4  - 3/4 = 5 and 1/4  <--- common denominator

X + 10/4 - 3/4 = 21/4

X + 7/4 = 21/4

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

step-by-step explanation:X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

X + (2 and 1/2) - 3/4 = 5 and 1/4

X + 2 and 2/4  - 3/4 = 5 and 1/4  <--- common denominator

X + 10/4 - 3/4 = 21/4

X + 7/4 = 21/4

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

this is answer of 144 cubic meters